If you are using algebra tiles to factor a trinomial of the form ax2 + bx + c, when would you need to bring in zero pairs? Why?

Respuesta :

If the value of c is negative, you would need zero pairs to model the factorization of the polynomial. The x-tiles on the board determine what the constants are in the factors. The product of these constants is equal to the value of c, so you would need positive tiles on one side of the x-squared tile and negative x-tiles on the other side to have opposite signs on the constants. Opposite signs on the constants will result in a negative value for c when multiplying the factors.

When we have c in ax2 + bx + c as negative, the pairs will have to be zero to achieve the  factorization of the polynomial.

What are algebra tiles?

Algebra tiles are squares that help students to develop the manipulative skills that are required in algebraic problems.

When we have c in ax2 + bx + c as negative, the pairs will have to be zero to achieve the  factorization of the polynomial. The x-tiles on the board determine what the constants are in the factors.  Since we need opposite signs to show the  constants this will give us a negative value for c when multiplying the factors.

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